Clean up AccessController with Exception disambiguation

[cwperks]

Description

A new method was recently added to AccessController in core to throw the original kind of Exception being thrown by the runnable instead of a generic Exception. With disambiguation, we are able to clean up some code in this repo.

• Category (Enhancement, New feature, Bug fix, Test fix, Refactoring, Maintenance, Documentation)

Refactoring

Check List

• New functionality includes testing
• New functionality has been documented
• New Roles/Permissions have a corresponding security dashboards plugin PR
• API changes companion pull request created
• Commits are signed per the DCO using --signoff

By submitting this pull request, I confirm that my contribution is made under the terms of the Apache 2.0 license.
For more information on following Developer Certificate of Origin and signing off your commits, please check here.

[cwperks]

Needs a new min distribution

[codecov]

Codecov Report

❌ Patch coverage is 57.14286% with 12 lines in your changes missing coverage. Please review.
✅ Project coverage is 73.63%. Comparing base (190b7c7) to head (f343144).
⚠️ Report is 2 commits behind head on main.

Files with missing lines	Patch %	Lines
...ensearch/security/ssl/DefaultSecurityKeyStore.java	40.00%	5 Missing and 1 partial ⚠️
...opensearch/security/auth/ldap/util/LdapHelper.java	0.00%	2 Missing ⚠️
...search/security/auth/ldap2/PrivilegedProvider.java	71.42%	1 Missing and 1 partial ⚠️
...auth/http/saml/SamlFilesystemMetadataResolver.java	0.00%	1 Missing ⚠️
.../org/opensearch/security/ssl/SslConfiguration.java	0.00%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #5815      +/-   ##
==========================================
+ Coverage   73.51%   73.63%   +0.11%     
==========================================
  Files         438      438              
  Lines       26710    26644      -66     
  Branches     3956     3936      -20     
==========================================
- Hits        19637    19618      -19     
+ Misses       5195     5153      -42     
+ Partials     1878     1873       -5     

Files with missing lines	Coverage Δ
...urity/auth/http/saml/SamlHTTPMetadataResolver.java	63.15% <100.00%> (+2.28%)	⬆️
...ecurity/auth/ldap2/LDAPAuthenticationBackend2.java	81.01% <100.00%> (+5.74%)	⬆️
...security/auth/ldap2/LDAPAuthorizationBackend2.java	49.21% <100.00%> (+1.12%)	⬆️
...opensearch/security/auth/ldap2/MakeJava9Happy.java	46.66% <100.00%> (+5.49%)	⬆️
...g/opensearch/security/dlic/rest/support/Utils.java	71.42% <100.00%> (+12.60%)	⬆️
...auth/http/saml/SamlFilesystemMetadataResolver.java	0.00% <0.00%> (ø)
.../org/opensearch/security/ssl/SslConfiguration.java	77.58% <0.00%> (-3.45%)	⬇️
...opensearch/security/auth/ldap/util/LdapHelper.java	83.87% <0.00%> (+9.58%)	⬆️
...search/security/auth/ldap2/PrivilegedProvider.java	54.76% <71.42%> (+4.76%)	⬆️
...ensearch/security/ssl/DefaultSecurityKeyStore.java	31.12% <40.00%> (+0.55%)	⬆️

... and 10 files with indirect coverage changes

🚀 New features to boost your workflow:

• ❄️ Test Analytics: Detect flaky tests, report on failures, and find test suite problems.
• 📦 JS Bundle Analysis: Save yourself from yourself by tracking and limiting bundle sizes in JS merges.