fix(e2e/claude_code): unblock stage collection and align proxy env names with the rest of tests/e2e - #33426

fix(e2e/claude_code): unblock stage collection and align proxy env names with the rest of tests/e2e#33426

mubashir1osmani wants to merge 18 commits into

BerriAI:litellm_internal_stagingBerriAI/litellm:litellm_internal_stagingfrom

mubashir1osmani:litellm_claude_code_env_alignmentmubashir1osmani/litellm:litellm_claude_code_env_alignmentCopy head branch name to clipboard