chore: improve default error handling(#1409)

[Alexj9837]

Fixes #1379
Fixes #1409

Both issues related to error handling in the REST client.

#1379 - String matching in check_connection broke in #935 when the
error format changed to include the status code.
Fixed by catching 'UnauthorisedAccessError' instead of string matching, this was fixed in 1409

#1409 - Expanded the exception handler to raise different types per
status code rather than bundling everything into BlueskyRemoteControlError.

[codecov]

Codecov Report

❌ Patch coverage is 91.66667% with 2 lines in your changes missing coverage. Please review.
✅ Project coverage is 95.16%. Comparing base (2e8842f) to head (f9ef5d5).

Files with missing lines	Patch %	Lines
src/blueapi/cli/cli.py	87.50%	1 Missing ⚠️
src/blueapi/client/rest.py	93.75%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1433      +/-   ##
==========================================
- Coverage   95.19%   95.16%   -0.03%     
==========================================
  Files          43       43              
  Lines        3119     3126       +7     
==========================================
+ Hits         2969     2975       +6     
- Misses        150      151       +1     

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