Go see Benedict in the tower, he has a quest that rewards you blue 690 gear. This will enable you to do menagerie which begins at 690. Honestly there's no real point in playing right now, forges are auto unlocked on the 1st, so don't bother unlocking the 2nd and 3rd forges. The first one is easy to unlock, the 4th is unlocked already. Maybe grab a hammerhead machine gun (powerful machine gun frame) as your first gun. The AR isn't much good but might be in shadowkeep given the AR buff. They're the only 2 you can get without unlocking forges.
Other than that, do your gunsmith 3 daily bounties, takes 10 mins n rewards you mod components n enhancement cores which you'll need next month
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Yea you could probably hold off on the forges for now, but you could start running Menagerie and upgrading your chalice. The chalice will let you pick exactly what rewards you get when you complete a Menagerie run.