A redirect runs no JavaScript. Here is how to count the click anyway.
Web Analytics, Plausible and Umami are page beacons, so a 301 is invisible to all of them. A Worker plus Analytics Engine counts it on the free plan.
Your redirect is eating the gclid. Here is the 60 second test.
Google Ads flags redirects that drop click IDs and tells you to ask IT. Here is how to find the hop that drops them yourself, with curl, in about a minute.