I think this is quite a good start; you should definitely finish it! There are not many good animal games on this website, and Lynx Tale has the potential to be one of the best. I am sure the anthropomorphism and the obvious Warriors influences will be off-putting to some, but ultimately, as long as the game is done well, I do not think those aspects matter.
Very well done on the grammar; it was near perfect, and the few mistakes there were did not take very much away from the experience. If it helps, you can use Scribens Grammar Checker to ensure that your grammar is always at its best; I use it myself regularly.
https://www.scribens.com/index.html
Usually, the best games include a lot of choices, so whenever more choices are appropriate, I think at least one more would be good. Two or even three more choices would be best in my opinion, but it depends upon how much work you are willing to put in, so just do what feels right to you.
I also feel like the game would really benefit from having more of an introduction to the world it is set in, as it just abruptly begins with your birth with nothing else to go off of. This also applies to the third paragraph, right after the time skip. A description of the passage of time and how you and your surroundings have changed would really help the transition.
The only other thing I would mention is the low amount of environmental detail. I noticed that, at least on the path that I took, the environment was barely described at all; sadly making the world feel a little lifeless. It felt like the characters and what they were doing were the most important things and the environment was just forgotten about. What is the den and the outside of the den like? What do they look, sound, smell and feel like? Of course you would not have to include all of these in any one description, they are just examples; but they go a long way towards making the world feel more alive.