Hi,
I see that your (only) previous posts (13 years ago ! ) concerned a "Sound Board" (the link is now broken) so you may have a "Favourite" Sound Player already. However, I've played the "Video" in post #1 above several times now and have made a few observations:
There appear to be 3 independent Servo "channels" required, for "Pan" , "Tilt" (or Azimuth / Elevation Angles) and the gun barrel(s)' "Recoil" (which might use two servos from a single control pulse). Similarly, there are two LEDs (one in each barrel?) which could use the same control signal, but you might want to use one pin for each to give a higher drive current. Note that PICaxe pins can deliver a higher current when used "Active Low" (i.e. Pulling the pin LOW), than the normal Active High mode. I'm not clear if the LEDs are required to "Dim" (decay) after an initial "Flash", but if so, that would require a PWM output and a more "continuous" program control (like the Servos). Also, the Video sound appears to include both Music and "Sound Effects" at the same time, so maybe you need two separate Sound Players?
However, if you are looking for advice on a "New Build" project, then the Audio Player Kit that I linked above does have three groups of header pins (each GND, V+ and a B.x port) which could be used for 3 Servos on pins B.1, B.3 and B.4. You would then need to modify the (14M2) board to connect (for example) pin C.4 (instead of B.4) as the "TX" pin to the player on the (alternative) connector group at the edge of the board. There are already pins/pads (B.2 and B.5) allocated for two LEDs, and a few spare pins for other input(s) or output(s) if required on port C.
Cheers, Alan.