feat(otel): Enhanced OpenTelemetry support (#4300)

DESCRIPTION

@@ -91,7 +91,7 @@ Imports:
     lifecycle (>= 0.2.0),
     mime (>= 0.3),
     otel,
-    promises (>= 1.3.3.9006),
+    promises (>= 1.4.0),
     R6 (>= 2.0),
     rlang (>= 0.4.10),
     sourcetools,
@@ -120,8 +120,6 @@ Suggests:
     testthat (>= 3.2.1),
     watcher,
     yaml
-Remotes:
-    rstudio/promises
 Config/Needs/check: shinytest2
 Config/testthat/edition: 3
 Encoding: UTF-8
@@ -187,11 +185,11 @@ Collate:
     'notifications.R'
     'otel-attr-srcref.R'
     'otel-bind.R'
+    'otel-error.R'
     'otel-label.R'
     'otel-reactive-update.R'
     'otel-session.R'
-    'otel-with.R'
-    'otel.R'
+    'otel-shiny.R'
     'priorityqueue.R'
     'progress.R'
     'react.R'