Doesn't sound like you have a problem. It is perfectly natural for a pup to want to be exploring your world than stuck in a crate. A few moments of protest is not an issue. You can offer treats for going into the crate and being still in there. If it is going to be awhile you can offer something that takes a little while to chew, like some jerky (made for dog kind..people kind is too salty). It is a good thing to teach them to be calm in a crate.
Puzzles are fine but they don't hold attention long. You want to keep an eye on them as they play with them. Then can be expensive and like Tenn said, I'd be concerned with a bored pup chewing them up.
For cheap puzzles, I find rinsed plastic juice bottles with a few small treats in them make for nice puzzles. Once they get chewed up, toss them into the recycling bin. Same for hiding treats in shoe boxes. But if you use boxes make sure to take off plastic tape. Some really large boxes have staples so watch out for those. If you order from some place like Chewy they send boxes with brown wrapping paper to keep items from shifting. If you put treats or a favorite toy in the box under all that paper, you pup might have fun exploring under all that crinkly mess to find the prize.
Patton CGC BH
Chief fetch fanatic
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