add integration test for LMI functions

[vicheey]

Issue #, if available

Add integration test for deploying application with CapacityProvider and LMI functions

Description of changes

Add test data and test cases for successfully deployment of resources.

Description of how you validated changes

Checklist

• Review the generative AI contribution guidelines
• Adheres to the development guidelines
• Add/update transform tests
  • Using correct values
  • Using wrong values
• Add/update integration tests

Testing

# 1. Initialize development environment (if not done already)
make init

# 2. Set up the companion stack (required for integration tests)
make prepare-companion-stack

# 3. Run test methods in the class
 python -m pytest --no-cov integration/combination/test_function_with_capacity_provider.py::TestFunctionWithCapacityProvider -v --tb=short -n 2
================================================================= test session starts =================================================================
platform darwin -- Python 3.12.11, pytest-7.4.4, pluggy-1.6.0 -- /Users/vichym/.pyenv/versions/3.12.11/envs/sam-t-3.12.11/bin/python
cachedir: .pytest_cache
Test order randomisation NOT enabled. Enable with --random-order or --random-order-bucket=<bucket_type>
metadata: {'Python': '3.12.11', 'Platform': 'macOS-26.1-arm64-arm-64bit', 'Packages': {'pytest': '7.4.4', 'pluggy': '1.6.0'}, 'Plugins': {'xdist': '3.8.0', 'localserver': '0.10.0', 'json-report-wip': '1.5.1', 'random-order': '1.2.0', 'timeout': '2.4.0', 'metadata': '3.1.1', 'hypothesis': '6.148.7', 'cov': '4.1.0', 'rerunfailures': '11.1.2', 'env': '0.8.2', 'forked': '1.6.0'}, 'JAVA_HOME': '/Library/Java/JavaVirtualMachines/amazon-corretto-18.jdk/Contents/Home'}
hypothesis profile 'default'
rootdir: /Volumes/workplace/LambdaTooling/aws/serverless-application-model
configfile: pytest.ini
plugins: xdist-3.8.0, localserver-0.10.0, json-report-wip-1.5.1, random-order-1.2.0, timeout-2.4.0, metadata-3.1.1, hypothesis-6.148.7, cov-4.1.0, rerunfailures-11.1.2, env-0.8.2, forked-1.6.0
2 workers [2 items]     
scheduling tests via LoadScheduling

integration/combination/test_function_with_capacity_provider.py::TestFunctionWithCapacityProvider::test_function_with_capacity_provider_default_role 
integration/combination/test_function_with_capacity_provider.py::TestFunctionWithCapacityProvider::test_function_with_capacity_provider_custom_role 

[gw1] [ 50%] PASSED integration/combination/test_function_with_capacity_provider.py::TestFunctionWithCapacityProvider::test_function_with_capacity_provider_default_role 
[gw0] [100%] PASSED integration/combination/test_function_with_capacity_provider.py::TestFunctionWithCapacityProvider::test_function_with_capacity_provider_custom_role 

============================================================ 2 passed in 929.32s (0:15:29) ============================================================

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