If you're going for the reputation one then save your symbols for a smile with +fame also use the tome that increases your fame and get a guild tabard, those 3 combined will save you 4 times the farming, focus on getting 1 type of tycoon coins cuz they have 3 different reputation.
Like the others said, you can't active the adaptive shell unless you have a shell (basic color pattern) which means you need to at least have used one permanent shell in order to active the shell, and then you can hammer that old shell and you'll get 2 skill one offensive and one defensive, you can switch them to any of those you want, I don't recommend using titan augmentation cuz it's increase isn't that significant at low "rank"(basic 2 maximum is 8 atm, it increases each time you hammer a unique shell " if you had 2 monolith and you hammer them both "using adaptive converter which you can get from boutique now for like 120pc or like 200 bc" you will only get one increase in rank but you will still get the extra offensive and defensive skill which you can trade to any other or stack them into design pack "100 pack for defensive skill, 200 pack for offensive skill, 500 for upgrade project,250 for adaptive shell, 30 for adaptive converter, 1 for adaptive battery which you need 5 to activate each of your skill" and if you don't have the upgrade project II (like the others said, it will boost your adaptive shell's hp, and give you another slot to put 2 offensive skills, but 2 skills of same type doesn't stack), it won't boost that much, so it's better to get another skill.
Now what I do recommend you to do is to wait for the next box sale ( because we will have upgrade project III by then and there will be a new shell, so the total rank will be increased by 1 and the current upgrade project II will give less hp compared to the upcoming new shell and prices in general will be much cheaper).
If you don't want to wait then just go for respected at one of the tycoon, then buy any shell (300~500bc is best price if you can find), use it hammer it and then activate your adaptive shell.
Or just buy Exrath or bastion and even if you get respected don't hammer the exrath/bastion and keep using it till next box you may find good prices for exrath and pastion (1kbc/ 3kbc) respectively. but I think it will be hard to find any good prices and it will be hard to get fragments for the time being.
Also, when you get the shell get the inventor handbooks they're pretty useful, green(gallop) and blue(auto-activation) are cheap, but the others will be expensive now, best is the fable one which heals you when the shell is destroyed.
This post has been edited 1 times, last edit by "PunisherSy" (Jul 26th 2019, 9:41am) with the following reason: typos, as always.