Attack Potency: Unknow (Never shown seriously harming people, though claws seem to easily slice through human skin),
abilities ignore conventional durabilityAlso, Type 1 Immortality so even if it can't hurt the tree, it probably outlives. Besides that, if the tree is sentient, what stops it being able to Mind Manipulate it into committing suicide? ....Well, then again, I suppose the tree lacks any means of doing so, right?
Nonetheless, Rake probably outlives, so long as something with Wall Level Durability or so -maybe lower- can keep itself from dying by other 'causes within a tree's lifespan. (Ex: Disease, climates, other hazards.)
Worst case scenario for the Rake, this goes the way of a fable & the tree breaks in half somehow (Windstorm, lightning, car impact, etc.), surviving because Type 2 Immortality... and its trunk falls on the Rake, crushing it to death.
Of course, SBA making it willing to kill means it might have trouble keeping away from the tree, but even if it can't keep away, the circumstances where that happens seem unlikely.