Can I still fix this mango tree?

Hi there!
I have this mango tree in my property. I guess the old owners didn't do the proper pruning and the tree grew skinny and tall, instead of more bushy and short. Now it's too tall for me to reach the fruits and I guess I will have a mess when the fruit season comes.
Can I still fix this tree? I marked on the picture below where I think I should cut, but I'm afraid to be too extreme and have an ugly monster instead of a still beautiful, although potentially messing, tree in front of my house.
Most of the branches are long. I'm considering cutting them in half or leaving 1/3 to make them open in several new ones. Does it make sense?
What do you guys suggest?
Thank you so much!


Intend to cut at the red marks


Seen from the back


Most branches are long and pointing up

Hi Marcelo - oh Mangoes how wonderful!
Obviously from my location I have no direct experience to offer, but I did find a useful pdf online: https://www.mango.org/wp-content/uploads/2022/03/Mango-Booklet-English.pdf . Have a look at p 23 where they cover rejuvenating older trees and it seems that you can be quite brutal to the trees in some environments. It sounds like fungal disease and drought stress can be an issue, so the timing of the pruning may be critical. It will take some time for the tree to regrow fruiting tips, it sounds like you need to aim for a bushy but open centred shape.
I hope this helps - maybe other lucky mango tree growers may be able to contribute some advice

Thank you Nancy! The PDF is being very helpful.
When I finally decide what to do I can post the results here for others' future reference.
Best regards!