How to add windows 10 to grub boot menu?

Question

linux

There was windows 10 on the ssd.
I broke the hdd for installing linux mint, but after installing it, only windows 10 was loaded. I solved this with a clean installation of Linux, the installer partitioned the disk as he needed. As a result, linux is loaded, windows 10 is not, and besides, I can’t enter the bios settings: the boot menu is empty there, the bios setup does not open.
There is only linux in the grub boot menu.
Is there a way to add windows to the grub bootloader menu, how to make sure it can start and it doesn't kill a running linux?
Grub looks like this:

With the lsblk command, the result is:

NAME   MAJ:MIN RM   SIZE RO TYPE MOUNTPOINT
sda      8:0    0 465,8G  0 disk 
├─sda1   8:1    0   512M  0 part /boot/efi
└─sda2   8:2    0 465,3G  0 part /
sdb      8:16   0   118G  0 disk 
├─sdb1   8:17   0 117,2G  0 part 
└─sdb2   8:18   0   790M  0 part

For the drive where windows is located: blkid /dev/sdb1

Device     Boot     Start       End   Sectors   Size Id Type
/dev/sdb1  *         2048 245839254 245837207 117,2G  7 HPFS/NTFS/exFAT
/dev/sdb2       245839872 247457791   1617920   790M 27 Hidden NTFS WinRE

blkid /dev/sdb1. Strange partition label with windows 10. Is it critical?

/dev/sdb1: LABEL="M-PM-^TM-PM-8M-QM-^AM-PM-:" UUID="2EE6EE17E6EDDF59" TYPE="ntfs" PARTUUID="d7209484-01"

upd Manually
added a boot item to grub as written in the article .

menuentry "Windows 10" {
insmod ntfs
set root='(hd1,1)'
search --no-floppy --fs-uuid --set 2EE6EE17E6EDDF59
chainloader +1
}

When selected - error: invalid EFI file path.
ps. If it were possible to go into bios, I would gladly demolish everything and reroll Windows (or restore it from a bootable USB flash drive). I encountered the problem not for the first time, but last time I had to resort to bios firmware on the programmer. I would like to do without such surgery, as it is not advisable to give away the laptop for several days.

Answer 1

Something like update-grub should find all the OSes on the drives.