You will need a

1 show him that you unlike Reza are not a threat [ that's kinda hard to do ]
And
2 where bouts on where reza is

It is common for a beast like The Great Gray to be agitated by a new comer so approach at one's own risk.(you are reading a guide on how to cuddle with a giant armored reptile who hates you you are the kinda of person who jumps in the tiger en closer at the zoo to try and get a selfie with it.)

1 Be polite

2 Slowly approach do nice things for him and his team, and gain their trust.

This is the end of the road in most cases, but won't be this time.

1 Give him the map after providing plenty of evidence that you are a smart fella and want to help with the investigation

2 Don't be a fart smella, and hinder the investigation

3 All dates would preferably be with Anna, Bryce, Naomi(the solitary mind mod), or Sebastian(The Loyal companion mod)

4 Once reza has been obliterated, or worse still alive and well(Lame)

5 Character you are dating(listed above in 4) will make mav uncomfortable by making him apologize to you for being a meanie no pants causing you 2 to handshake or best outcome hug.

Now you have won over the beast, and gained his respect. Commence the hug.

1 Move slowly closer to The Great Grey with smug encouragement from date.

2 Wrap 2 arms (sorry 1 armed brethren) around neck with face on his throat.

3 Make it last as long as reasonably possible (eternity) until he wraps you in his arms embracing you in a hug.

4 Enjoy until date is jealous, and grey gay has developed feelings for you.