feature: basic matchmaking (#2227)

## Description:

Implement a basic matchmaking modal that connects to the api service and
waits for a game id. It then waits until the game starts and connects to
it.

Workers use long polling to check in with the matchmaking server and
receive player assignments.

## Please complete the following:

- [x] I have added screenshots for all UI updates
- [x] I process any text displayed to the user through translateText()
and I've added it to the en.json file
- [x] I have added relevant tests to the test directory
- [x] I confirm I have thoroughly tested these changes and take full
responsibility for any bugs introduced

## Please put your Discord username so you can be contacted if a bug or
regression is found:

evan

---------

Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com>

src/client/index.html

@@ -221,6 +221,9 @@
         <div>
           <public-lobby class="block"></public-lobby>
         </div>
+        <div>
+          <matchmaking-button class="w-[20%] md:w-[15%]"></matchmaking-button>
+        </div>
         <div class="container__row container__row--equal">
           <o-button
             id="host-lobby-button"