Mine is called "Call Recorder - ACR" on Google Play. I've had that same problem before - the Android permissions relevant to this type of app have changed through various versions and on different phones - there's a different combination of settings you need depending on your device - they have a help page about it that I had to play around with before I got it to work again after an upgrade.
edit: If you have a good poker face it may not matter - I've had a company push back a little further but eventually cave before I actually sent them the MP3, but only once has anyone actually heard any of the recording before they changed their tune.
I definitely second ACR. I use it and have it set up to record literally every phone call I make or receive. (You might need to be mindful of espionage laws depending on where you live, as some states/countries might require consent from both parties.)
I'd strongly suggest everyone record their phone calls with any kind of company or business, especially larger corporations. It's a good way to make sure they can't renege once they've promised you something.
Not sure if it's the same as OP's, but it works for me!
That's the free version, good enough for most purposes and certainly for testing. But they have a paid version with some features that are nice for business use if you need that.
For Android, I use skvalex call recorder. It costs $10, which is "relatively" expensive for Android apps, but it's worth it. I bought it years ago and it has been recording my calls ever since. Other call recording apps were either spyware/adware traps or were just terrible.
For me, no other call recording app worked because of the hardware I had. Some phones make call recording easy and some make it nearly impossible. I hear that recent phones are much better than phones from two or more years ago.
Some of the features that make the skvalex app better than anything else I tried are automatic recording all the time, detailed recording meta info, automatic file encryption, automatic recording cleanup, and I find the UI design to be utility oriented, which is a good thing.
Note that previous versions of the app were removed from the Google Play Store because they used prohibited methods to record calls on devices that don't have official call recording APIs. The new app is labeled as a beta/test, but it's very stable.
Note that if your phone doesn't work with the app in the Google Play Store, you need to install the CallRecorderROOT apk module, which you can only get from the XDA forum post. You don't need the CallRecorderROOT apk if your phone works with the standard API, which many do these days.
Finally, using this app has paid off immensely. There are a couple of particular vendors I work with (Notably Cisco Systems) that have fking awful support, and I've dug out recordings of their terrible phone support calls and put it in front of our reps in group meetings. Being able to put the embarrassing behavior of their support reps in front of them gets an immediate attitude adjustment, and in my case, our support tier was bumped up to top-tier status and I've never had a problematic call since. Yes, depending on how much you pay or how big a customer you are determines which group of phone droids your call gets routed to.
edit: If you have a good poker face it may not matter - I've had a company push back a little further but eventually cave before I actually sent them the MP3, but only once has anyone actually heard any of the recording before they changed their tune.