I’m not familiar with that type of laser system so I will default to “Re-Read the instructions”. Now that being out of the way and a$$uMe ing no help (and figuring you have already done that) I would consider one of two options if the cartridge works on the first shot.
The simplest method would be to partially push out your rear disassembly pin. Take your shot, pull the pin and drop the lower. Manually cock the hammer and put it back together.
The second option is to get an extra bolt without the extractor and turn your stick temporarily into a pull bolt, just don’t get aggressive racking the bolt you could smash the laser bits.
Finally to get the booger cartridge out, wrap both fingers around the charging handle and “BANG” the butt stock sharply on a hard surface (ground). That usually breaks most stuck cases free (Obviously it won’t work if you choose option 2 and then your back to a ram rod)
Dunno if that will assist you or if it’s against mfg instructions but those are the things I would consider given the circumstances as described.