How to proxy_pass a route with parameters

Question

I am using a route with parameters on the front end to node express using axios:

await axios.delete(`/api/delete/file/${folder}`)

Then on node express I use the route with a parameter

server.js

import { deleteFile } from './node/controllers/delete-controller.js'
app.use('/api', router)
router.delete('/delete/file/:folder', deleteFile)

delete-controller.js

export const deleteFile = async (req, res) => {
  await unlink(`./projects/${req.params.folder}/data.json`)
  res.end()
}

On production, how should I set the nginx proxy pass? Currently I have this but it does not work.

location /api/delete/file {
  proxy_pass http://localhost:5006/api/delete/file;
}

Or

location ~ ^/api/delete/file(/?)(.*) {
  proxy_pass http://localhost:5006/api/delete/file$1;
}

I get: 404

If I do

location /api/delete/file/?(.*) {
  proxy_pass http://localhost:5006/api/delete/file;
}

I get: 405 Method Not Allowed