Remove @primer/styled-react from changeset as requested

Co-authored-by: TylerJDev <26746305+TylerJDev@users.noreply.github.com>

Author: Copilot

.changeset/deprecate-textinputwithtokens.md

@@ -1,6 +1,5 @@
 ---
 '@primer/react': major
-'@primer/styled-react': minor
 ---
 
 Deprecate TextInputWithTokens component. The component has been moved to the deprecated entrypoint due to low usage and accessibility implications. Import from `@primer/react/deprecated` instead of `@primer/react`.