feat: remove unused python dependency (#26629)

Co-authored-by: google-labs-jules[bot] <161369871+google-labs-jules[bot]@users.noreply.github.com>
Co-authored-by: autofix-ci[bot] <114827586+autofix-ci[bot]@users.noreply.github.com>

api/pyproject.toml

@@ -5,7 +5,6 @@ requires-python = ">=3.11,<3.13"
 
 dependencies = [
     "arize-phoenix-otel~=0.9.2",
-    "authlib==1.6.4",
     "azure-identity==1.16.1",
     "beautifulsoup4==4.12.2",
     "boto3==1.35.99",
@@ -34,7 +33,6 @@ dependencies = [
     "json-repair>=0.41.1",
     "langfuse~=2.51.3",
     "langsmith~=0.1.77",
-    "mailchimp-transactional~=1.0.50",
     "markdown~=3.5.1",
     "numpy~=1.26.4",
     "openpyxl~=3.1.5",
@@ -59,7 +57,6 @@ dependencies = [
     "opentelemetry-semantic-conventions==0.48b0",
     "opentelemetry-util-http==0.48b0",
     "pandas[excel,output-formatting,performance]~=2.2.2",
-    "pandoc~=2.4",
     "psycogreen~=1.0.2",
     "psycopg2-binary~=2.9.6",
     "pycryptodome==3.19.1",