Meta Pixel AddToCart and Purchase Events Not Firing in Facebook for Magento 2 Extension

I am using the Facebook for Magento 2 extension on a Magento 2.4.7-p7 store:

https://github.com/facebookarchive/facebook-for-magento2

While testing with Meta Pixel Helper, I noticed that some standard Meta events are not being tracked correctly.

Purchase Event Not Firing

After an order is successfully placed, no Purchase event is sent to Meta.

What I observe:

The order completes successfully.
The Meta Pixel Helper does not show a Purchase event.
It appears the pixel is redirecting back to the homepage rather than firing on the order success page.
Meta should receive a standard Purchase event containing the order value and currency when the order success page loads.
2. AddToCart Event Not Firing

No standard AddToCart event is being sent when a customer adds a product to the cart.

Instead, I am seeing something unusual:

Meta’s Automatic Event Detection is capturing button interactions.
Actions such as Add to Cart, Go to Cart, and Place Order are being detected.
However, all of these interactions are being reported as SubscribedButton events instead of the correct standard Meta events.

I checked the event details in Meta Pixel Helper and can see that the button clicks are being captured, but they are mapped incorrectly.

Ideally, these actions should be tracked as:

Add to Cart → AddToCart
Begin Checkout → InitiateCheckout
Order Success → Purchase

So it appears that the event hooks exist, but the events are either not being mapped correctly or are not being fired at all.

Additional Context

I understand that the extension I am using has been deprecated:

Archived extension:
https://github.com/facebookarchive/facebook-for-magento2

New Meta extension:
https://github.com/magento/meta-for-magento2

Questions

Q1. Does either the old Facebook extension or the newer Meta extension support AddToCart, InitiateCheckout, and Purchase events out of the box?

Q2. Has anyone successfully implemented these events using either extension?
Q3. If these events are not supported by default, is custom development required?
Q4. Has anyone implemented a fix or customization for the archived Facebook extension to correctly fire these events?
Q5. Is it necessary to switch to a paid Meta Pixel extension to get reliable event tracking?

P.S. I am using the paid theme MGS Claue on my magento 2.4.7-p7 store

Any guidance or experience with these extensions would be greatly appreciated.

Thanks!