I'd do as Charlie mentioned. If it's a 77 day trip and you are visiting other countries, no need to screw around with a visa. But definitely take warning about the airline asking for an exit flight in 30 days. That is very possible
I'd just ask one of main guys if the TM30 is enough as it always requires to be resubmitted everytime you re enter the country so the one you have from your previous stay will be null and void
I'm in a similar situation. Was here 4 months late November to March. Spent 3 months back home and then came in again on a 60 day. Done an extension and 1 border run and heading to Malaysia at the end of this 30 days before flying back in. I'm a bit nervous about flying back in but have a flight back to Australia 29 days after I return so I should just cop some questioning hopefully. I miss the good old days when this shit never mattered