After dual booting windows on my ubuntu machine, I cant access ubuntu (stuck at grub2/initramfs)

Question

I tried to dual boot windows to my 20.04 ubuntu machine. After successfully installing windows I found I can no longer access ubuntu.

The state right now:

• I enter the bios and choose the ubuntu boot.
• After choosing ubuntu the grub2 command line is prompted.
• If I run grub> exit I exit the grub and the windows os is loaded.
• after roaming the internet I found that there is a way to boot through the grub2.
• if I run the suggested command :

grunb> set root=(hd1,msdos5)
grunb> linux /boot/vmlinuz-5.13.0-39-generic root=/dev/nvme1n1p5 ro
grunb> initrd /boot/inintrd.img-5.13.0-39-generic
grunb> boot

• Next, it seems like ubuntu start to load but got stuck at (initramfs) and there are some notable error lines before:

Begin: running /script/int-bottom ... mount: mounting /dev on /root/dev
Mounting: mounting /dev on /root/dev failed: no such file or directory
done.
Mounting: mounting /dev on /root/dev failed: no such file or directory
run-init: can't execute '/sbin/init': no such file or directory
target filesystem dosen't have requested /sbin/init
run-init: can't execute '/sbin/init': no such file or directory
run-init: can't execute '/etc/init': no such file or directory
run-init: can't execute '/bin/init': no such file or directory
run-init: can't execute '/bin/sh': no such file or directory
run-init: can't execute '': no such file or directory
No init found. Try passing init= bootarg
(initramfs)

More data:

• Even before I added windows, ubuntu will first load the grub command line, and then I would have to enter grub>exit to enter ubuntu.
• I use a new m.2 512GB disk for the windows installation.
• I can view all of my files and directory of the Ubuntu partition using the Grub ls command.
• Some grub> ls command ouput:

Grub> ls
(proc) (hd0) (hd0,gpt5) (hd0,gpt4) (hd0,gpt3) (hd0,gpt2) (hd0,gpt1) (hd1) (hd1,msdos5) (hd1,msdos1)
Grub> ls (hd1,msdos5)/
lost+found/ boot/ swampfile etc/ media/ var/ bin dev/ home/ lib lib32 lib64 libx32 mnt/ opt/ proc/ root/ run/ sbin snap/ srv/ sys/ tmp/ usr/ cdrom/
-(My ubuntu partition)
Grub> ls (hd0,gpt2)/
efi/
Grub> ls (hd0,gpt4)/
/Program File /Program File (x86) ...

(My Windows partition...)

Grub> ls (hd1,msdos1)/
efi/ System Volume Information/ $recycle.bin/ Recovery

(ubuntu efi boot?)

Grub ls (hd1,msdos1)/efi/
ubuntu/ boot/

• Some grub> set command ouput:

Grub> set
cmdpath=(hd1,msdos1)/EFI/UBUNTU
grub_cpu=x86_64
grub_platform=efi
lang=
locale_dir=
prefix=(hd1,msdos1)/boot/grub
root=hd1,msdos1

some failed methods:

• I tried to boot Linux on live cd and update the grub
• I tried to use boot-repair
• I tried to add those lines to the grub:

Grub> set prefix=(hd1,msdos5)/boor/grub
Grub> insmod normal
Grub> normal

• I tried to change the root folder of the linux command to root=/dev/sda1 ro. As far as I understand I should use the nvme1n1p5 as my disks are m.2 type.
• I have seen somewhere that you can't dual boot legacy bios with UEFI and that I should change this setting in the bios. but all the relevant options were on "legacy bios only"

So, this is my last painful experience with dual booting. I hope I have been clear enough. If you need any other information please tell me. And of course, thank you very much for the will to help me :)

update:

After reading the boot-repair report: https://paste.ubuntu.com/p/VG5skMbhVk/ I realize that in the second line of the Grub I should have written nvme0n1p5 instead of nvme1n1p5, Currently, I'm successfully booted into my ubuntu.

Right now I am not sure how to update my grub. My end goal would be that when powering the computer I'll be prompt with a grub menu with ubuntu and windows.