diff --git a/go.mod b/go.mod
index b609f98de21169bf9f26c39172921643e16fd792..ecaac5ff8d446975687f35ce4315295efa9dd4dc 100644
--- a/go.mod
+++ b/go.mod
@@ -3,7 +3,7 @@ module git.autistici.org/ai3/tools/acmeserver
 go 1.14
 
 require (
-	git.autistici.org/ai3/go-common v0.0.0-20221125154433-06304016b1da
+	git.autistici.org/ai3/go-common v0.0.0-20230526131513-5afdaf014661
 	git.autistici.org/ai3/tools/replds v0.0.0-20220814170053-28106a9463f5
 	github.com/miekg/dns v1.1.50
 	github.com/prometheus/client_golang v1.12.2
diff --git a/go.sum b/go.sum
index f925beea2dbceaf4521956b54f4a09b6611b4cc4..800202049a493f1e9ae1a131910cdd46e61fb3c1 100644
--- a/go.sum
+++ b/go.sum
@@ -54,6 +54,8 @@ git.autistici.org/ai3/go-common v0.0.0-20220814151247-39e01d32d5ee h1:EPfpfiG3vK
 git.autistici.org/ai3/go-common v0.0.0-20220814151247-39e01d32d5ee/go.mod h1:yhMB8VKJBBr+EKMft7MtqHVO73vkwdq/O5sVDTs/CNI=
 git.autistici.org/ai3/go-common v0.0.0-20221125154433-06304016b1da h1:fizdAjFv2vWz+83IoeRW2L0Shyo3dDquXyQKWRGs4jc=
 git.autistici.org/ai3/go-common v0.0.0-20221125154433-06304016b1da/go.mod h1:FTGqOGPpuoFg7TiHshYCyp5j1Ab3ek0J0KcS++vEjxw=
+git.autistici.org/ai3/go-common v0.0.0-20230526131513-5afdaf014661 h1:QidAfAxaIMWWu52luWF30wvRpv7t+Ic73xxsTUENqSU=
+git.autistici.org/ai3/go-common v0.0.0-20230526131513-5afdaf014661/go.mod h1:FTGqOGPpuoFg7TiHshYCyp5j1Ab3ek0J0KcS++vEjxw=
 git.autistici.org/ai3/tools/replds v0.0.0-20220814170053-28106a9463f5 h1:E5enMbOmQkRkLVbYks2Makfg3wd3fOxYDK9ksGOqS7c=
 git.autistici.org/ai3/tools/replds v0.0.0-20220814170053-28106a9463f5/go.mod h1:DDsdq6Fs+uWfzRIuj8JncnTrfy+NRwfGHxk6OViV8T0=
 github.com/Azure/azure-amqp-common-go/v2 v2.1.0/go.mod h1:R8rea+gJRuJR6QxTir/XuEd+YuKoUiazDC/N96FiDEU=
diff --git a/vendor/git.autistici.org/ai3/go-common/serverutil/http.go b/vendor/git.autistici.org/ai3/go-common/serverutil/http.go
index b2575350bcb11e0099375aee69a3b4f37a3500c7..ebfe6b6f7a914b34d76e4e19ae906f8ba9439b3d 100644
--- a/vendor/git.autistici.org/ai3/go-common/serverutil/http.go
+++ b/vendor/git.autistici.org/ai3/go-common/serverutil/http.go
@@ -104,13 +104,20 @@ func (config *ServerConfig) buildHTTPHandler(h http.Handler) (http.Handler, *tls
 	return h, tlsConfig, nil
 }
 
-// Serve HTTP(S) content on the specified address. If config.TLS is
-// not nil, enable HTTPS and TLS authentication.
-//
-// This function will return an error if there are problems creating
-// the listener, otherwise it will handle graceful termination on
-// SIGINT or SIGTERM and return nil.
-func Serve(h http.Handler, config *ServerConfig, addr string) error {
+func buildListener(addr string, tlsConfig *tls.Config) (net.Listener, error) {
+	// Create the net.Listener first, so we can detect
+	// initialization-time errors safely.
+	l, err := net.Listen("tcp", addr)
+	if err != nil {
+		return nil, err
+	}
+	if tlsConfig != nil {
+		l = tls.NewListener(l, tlsConfig)
+	}
+	return l, nil
+}
+
+func buildServer(h http.Handler, config *ServerConfig, addr string) (*http.Server, error) {
 	// Wrap with tracing handler (exclude metrics and other
 	// debugging endpoints).
 	h = tracing.WrapHandler(h, guessEndpointName(addr))
@@ -118,7 +125,7 @@ func Serve(h http.Handler, config *ServerConfig, addr string) error {
 	// Create the top-level HTTP handler with all our additions.
 	hh, tlsConfig, err := config.buildHTTPHandler(h)
 	if err != nil {
-		return err
+		return nil, err
 	}
 
 	// These are not meant to be external-facing servers, so we
@@ -131,14 +138,24 @@ func Serve(h http.Handler, config *ServerConfig, addr string) error {
 		TLSConfig:         tlsConfig,
 	}
 
-	// Create the net.Listener first, so we can detect
-	// initialization-time errors safely.
-	l, err := net.Listen("tcp", addr)
+	return srv, nil
+}
+
+// Serve HTTP(S) content on the specified address. If config.TLS is
+// not nil, enable HTTPS and TLS authentication.
+//
+// This function will return an error if there are problems creating
+// the listener, otherwise it will handle graceful termination on
+// SIGINT or SIGTERM and return nil.
+func Serve(h http.Handler, config *ServerConfig, addr string) error {
+	srv, err := buildServer(h, config, addr)
 	if err != nil {
 		return err
 	}
-	if srv.TLSConfig != nil {
-		l = tls.NewListener(l, srv.TLSConfig)
+
+	l, err := buildListener(addr, srv.TLSConfig)
+	if err != nil {
+		return err
 	}
 
 	// Install a signal handler for gentle process termination.
@@ -176,6 +193,38 @@ func Serve(h http.Handler, config *ServerConfig, addr string) error {
 	return nil
 }
 
+// ServeWithContext operates like Serve but with a controlling Context
+// that can be used to stop the HTTP server.
+func ServeWithContext(ctx context.Context, h http.Handler, config *ServerConfig, addr string) error {
+	srv, err := buildServer(h, config, addr)
+	if err != nil {
+		return err
+	}
+
+	l, err := buildListener(addr, srv.TLSConfig)
+	if err != nil {
+		return err
+	}
+
+	go func() {
+		<-ctx.Done()
+
+		sctx, cancel := context.WithTimeout(context.Background(), gracefulShutdownTimeout)
+		srv.Shutdown(sctx) // nolint: errcheck
+		srv.Close()
+		cancel()
+	}()
+
+	daemon.SdNotify(false, "READY=1") // nolint
+
+	err = srv.Serve(l)
+	if err == http.ErrServerClosed {
+		err = nil
+	}
+
+	return err
+}
+
 func addDefaultHandlers(h http.Handler) http.Handler {
 	root := http.NewServeMux()
 
diff --git a/vendor/git.autistici.org/ai3/go-common/serverutil/tls.go b/vendor/git.autistici.org/ai3/go-common/serverutil/tls.go
index 21c002b8baaae892f04f481b84a23e1aa7a34067..b81b0470dc296240ac81c734791e080f8b5416dd 100644
--- a/vendor/git.autistici.org/ai3/go-common/serverutil/tls.go
+++ b/vendor/git.autistici.org/ai3/go-common/serverutil/tls.go
@@ -123,6 +123,7 @@ func (c *TLSServerConfig) TLSConfig() (*tls.Config, error) {
 		CipherSuites:             serverCiphers,
 		MinVersion:               tls.VersionTLS12,
 		PreferServerCipherSuites: true,
+		NextProtos:               []string{"h2", "http/1.1"},
 	}
 
 	// Require client certificates if a CA is specified.
diff --git a/vendor/modules.txt b/vendor/modules.txt
index 4323c4d739520203b0068ccdff77f927bc9733ec..d640fc8b02e5f747717dcb507152e2eee3d9677a 100644
--- a/vendor/modules.txt
+++ b/vendor/modules.txt
@@ -1,4 +1,4 @@
-# git.autistici.org/ai3/go-common v0.0.0-20221125154433-06304016b1da
+# git.autistici.org/ai3/go-common v0.0.0-20230526131513-5afdaf014661
 ## explicit
 git.autistici.org/ai3/go-common
 git.autistici.org/ai3/go-common/clientutil