feat: add endpoint to list the groups associated to a managed room

[FrenchGithubUser]

SYN-71

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 93.47%. Comparing base (0e176cf) to head (8ade4b6).

Additional details and impacted files

@@            Coverage Diff             @@
##             main      #48      +/-   ##
==========================================
+ Coverage   93.27%   93.47%   +0.20%     
==========================================
  Files          10       10              
  Lines         877      904      +27     
  Branches      131      135       +4     
==========================================
+ Hits          818      845      +27     
  Misses         34       34              
  Partials       25       25              

Files with missing lines	Coverage Δ
famedly_control_synapse/famedly_control.py	95.12% <100.00%> (+0.06%)	⬆️
famedly_control_synapse/repository.py	86.48% <100.00%> (+1.48%)	⬆️
famedly_control_synapse/rest/room.py	90.75% <100.00%> (+1.33%)	⬆️

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[cursor]

PR Summary

Low Risk
Read-only admin API with patterns aligned to the existing list endpoint; main risk is servlet registration order, which is documented and tested.

Overview
Adds an admin-only GET /_famedlyControl/v1/managedRooms/{roomId} that returns one managed room as a ManagedRoomChunk—same shape as list entries, including aggregated de.famedly.managedRoom groups plus room stats (name, topic, alias, member count, etc.).

A new get_managed_room repository method runs the existing list-style SQL filtered by room_id. 404 is returned when the room is missing or not managed; non-admins get 403.

GetManagedRoomResource is registered after ListManagedRoomsResource so the /{room_id}$ pattern does not take precedence over the literal /rooms list route. OpenAPI documents getManagedRoom; REST tests cover auth, success payload, 404 cases, and list-route shadowing.

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[jason-famedly]

Largely looks good, lets get these couple of things

[jason-famedly]

LGTM 🚀