fix(amazonq): Fixes mcp server registry not clearing on switching connections and reduces GetProfile calls

[shruti0085]

Description

This changes addresses to issues:

1. With JB it was observed that GetProfile calls may get invoked a large number of times when service returned 5xx errors. With this change an attempt has been made to reduce the number of time GetProfile call may get invoked by the profileStatusMonitor.IsMcpEnabeld call.
2. A bug was found where within a single IDE session when switching between connections IDC/Builder ID, if previously signed in with a mcp registry enabled profile, signing out and logging into a builder id or IDC without registry resulted in still being able to access servers from the previous connection's registry. This change ensures, mcp servers are cleared and registry reset on signout.

Testing
Validated that less IsMcpEnabled calls are invoked and mcp servers are cleared on switching connections

License

By submitting this pull request, I confirm that my contribution is made under the terms of the Apache 2.0 license.

[codecov-commenter]

Codecov Report

❌ Patch coverage is 45.65217% with 25 lines in your changes missing coverage. Please review.
✅ Project coverage is 60.58%. Comparing base (a837cc9) to head (5712947).

Files with missing lines	Patch %	Lines
...rver/agenticChat/tools/mcp/profileStatusMonitor.ts	40.00%	18 Missing ⚠️
core/aws-lsp-core/src/util/retryUtils.ts	33.33%	1 Missing and 1 partial ⚠️
...anguage-server/agenticChat/tools/mcp/mcpManager.ts	77.77%	2 Missing ⚠️
...rc/language-server/agenticChat/tools/toolServer.ts	0.00%	2 Missing ⚠️
...mazonQServiceManager/AmazonQTokenServiceManager.ts	50.00%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #2580      +/-   ##
==========================================
- Coverage   60.58%   60.58%   -0.01%     
==========================================
  Files         278      278              
  Lines       65062    65078      +16     
  Branches     4145     4146       +1     
==========================================
+ Hits        39420    39425       +5     
- Misses      25558    25568      +10     
- Partials       84       85       +1     

Flag	Coverage Δ
unittests	60.58% <45.65%> (-0.01%)	⬇️

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[ashishrp-aws]

what happens when no mcpManager initialized yet?

[shruti0085]

should default to false mcp state right? As mentioned offline, there is not an accessible way to use mcp manager without initialization and since it is the source for resolving servers, it seems reasonable for it have no servers. I believe even with my change that default behavior should not change as this is surrounded by a try catch