Resolving Prettier + React: context.getPhysicalFilename is not a function

If you’ve recently upgraded to eslint-plugin-prettier@^4 on an existing React project, you may have encountered the cryptic error:

Run yarn build
Creating an optimized production build...
Failed to compile.

Error while loading rule 'prettier/prettier': context.getPhysicalFilename is not a function
Occurred while linting /home/runner/work/$repository/$repository/src/index.tsx

Error: Process completed with exit code 1.