I know there’s only a few conifers that drop their needles, and one being Dawn Redwood, but the ones I’ve seen are a lot more cone shaped ?
Your 2nd pic looks a perfectly normal shape for a Dawn redwood...a fabulous example. Please compare the leaves/needles on your tree to my pic. Do they match?
Normally the bottom branches get removed to reveal the interesting trunk...see pics in my link
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A deciduous conifer.
However in your 1st pic it is difficult to see detail
https://www.flickr.com/search/?user_id=11713966@N02&sort=date-taken-desc&text=Metasequoia glyptostroboides&view_all=1
Please compare the leaves/needles on your tree to my pic.
Do they match?
Normally the bottom branches get removed to reveal the interesting trunk...see pics in my link