CLJS doesn't update type when watch is started on init

[bigodel]

Given a Leiningen project with the following configuration

:repl-options {:init (shadow.cljs.devtools.api/watch :app)}

Starting it with cider-jack-in-clj&cljs, using lein with default parameters and either shadow or shadow-select (doesn't really matter the choice here) as cider-default-cljs-repl, doesn't set the correct cider-repl-type for the CLJS REPL. However, setting it manually via cider-set-repl-type everything works as expected. This sounds oddly familiar to #2305, but I'm not sure if it is related or not to the solution.

Expected behavior

Both REPLs are initialized with the correct cider-repl-type.

Actual behavior

The CLJS REPL remains with cider-repl-type as clj.

Steps to reproduce the problem

Unfortunately, I can't provide with a sample project ATM, but it would suffice to

1. Have any dummy project with a shadow-cljs build and some Clojure code;
2. Put the watch call from shadow.cljs.devtools.api anywhere (by this I mean in any form/function specified there) within the :init option under :repl-options;
3. Start CIDER with cider-jack-in-clj&cljs;
4. Select lein as a build tool, and either shadow-select or shadow as the CLJS REPL. Finally, choose the build for the CLJS specified in shadow-cljs.edn.

Environment & Version information

CIDER version information

;; CIDER 1.2.0snapshot (package: 20211215.925), nREPL 0.9.0-beta5
;; Clojure 1.10.1, Java 16.0.2

Lein/Boot version

Leiningen 2.9.8 on Java 16.0.2 OpenJDK 64-Bit Server VM

Emacs version

GNU Emacs 28.0.90 (build 1, x86_64-pc-linux-gnu, GTK+ Version 3.24.30, cairo version 1.17.4) of 2021-12-15

Operating system

Arch Linux x86_64, kernel v5.15.7-arch1-1

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This issue has been automatically marked as stale because it has not had recent activity. It will be closed if no further activity occurs. Thank you for your contribution and understanding!

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