Windows boot entry not showing up in systemd-boot

when I run blkid
it lists the following:

/dev/sda1: UUID="064B-5C7B" BLOCK_SIZE="512" TYPE="vfat" PARTLABEL="Basic data partition" PARTUUID="6c69e3ee-8c62-43e4-807a-0c15bfd8872a"

When I mount this one using for example via sudo mount /dev/sda1 /mnt, I can navigate to
/mnt/EFI/Microsoft/Boot/ and find the efi files for the windows boot, namely
/mnt/EFI/Microsoft/Boot/bootmgfw.efi and /mnt/EFI/Microsoft/Boot/bootmgr.efi.

Additionally, I created a boot entry in /boot/loader/entries/:

# Created by: raildex
# Created on: 2025-04-19_18-37-00
title Windows 11
efi /EFI/MICROSOFT/BOOT/BOOTMGFW.EFI
options root=PARTUUID=6c69e3ee-8c62-43e4-807a-0c15bfd8872a

the PARTUUID is the one I saw when executing blkid.

But this particular entry still does not appear when I boot. I only see the (already existing) linux entries.

The output of bootctl is as follows:

bootctl
System:
      Firmware: UEFI 2.70 (American Megatrends 5.17)
 Firmware Arch: x64
   Secure Boot: disabled (setup)
  TPM2 Support: yes
  Measured UKI: no
  Boot into FW: supported

Current Boot Loader:
      Product: systemd-boot 257.5-1-arch
     Features: ✓ Boot counting
               ✓ Menu timeout control
               ✓ One-shot menu timeout control
               ✓ Default entry control
               ✓ One-shot entry control
               ✓ Support for XBOOTLDR partition
               ✓ Support for passing random seed to OS
               ✓ Load drop-in drivers
               ✓ Support Type #1 sort-key field
               ✓ Support @saved pseudo-entry
               ✓ Support Type #1 devicetree field
               ✓ Enroll SecureBoot keys
               ✓ Retain SHIM protocols
               ✓ Menu can be disabled
               ✓ Multi-Profile UKIs are supported
               ✓ Boot loader set partition information
    Partition: /dev/disk/by-partuuid/ac2b7eb1-5dc7-495b-a2d7-a3809d906f14
       Loader: └─/EFI/BOOT/BOOTX64.EFI
Current Entry: 2025-03-19_17-51-51_linux.conf

Random Seed:
 System Token: set
       Exists: yes

Available Boot Loaders on ESP:
          ESP: /boot (/dev/disk/by-partuuid/ac2b7eb1-5dc7-495b-a2d7-a3809d906f14)
         File: ├─/EFI/systemd/systemd-bootx64.efi (systemd-boot 257.5-1-arch)
               └─/EFI/BOOT/BOOTX64.EFI (systemd-boot 257.5-1-arch)

Boot Loaders Listed in EFI Variables:
        Title: UEFI OS
           ID: 0x0017
       Status: active, boot-order
    Partition: /dev/disk/by-partuuid/ac2b7eb1-5dc7-495b-a2d7-a3809d906f14
         File: └─/EFI/BOOT/BOOTX64.EFI

        Title: Windows Boot Manager
           ID: 0x0000
       Status: active, boot-order
    Partition: /dev/disk/by-partuuid/6c69e3ee-8c62-43e4-807a-0c15bfd8872a
         File: └─/EFI/MICROSOFT/BOOT/BOOTMGFW.EFI

Boot Loader Entries:
        $BOOT: /boot (/dev/disk/by-partuuid/ac2b7eb1-5dc7-495b-a2d7-a3809d906f14)
        token: arch
...skipping...
     Features: ✓ Boot counting
               ✓ Menu timeout control
               ✓ One-shot menu timeout control
               ✓ Default entry control
               ✓ One-shot entry control
               ✓ Support for XBOOTLDR partition
               ✓ Support for passing random seed to OS
               ✓ Load drop-in drivers
               ✓ Support Type #1 sort-key field
               ✓ Support @saved pseudo-entry
               ✓ Support Type #1 devicetree field
               ✓ Enroll SecureBoot keys
               ✓ Retain SHIM protocols
               ✓ Menu can be disabled
               ✓ Multi-Profile UKIs are supported
               ✓ Boot loader set partition information
    Partition: /dev/disk/by-partuuid/ac2b7eb1-5dc7-495b-a2d7-a3809d906f14
       Loader: └─/EFI/BOOT/BOOTX64.EFI
Current Entry: 2025-03-19_17-51-51_linux.conf

Random Seed:
 System Token: set
       Exists: yes

Available Boot Loaders on ESP:
          ESP: /boot (/dev/disk/by-partuuid/ac2b7eb1-5dc7-495b-a2d7-a3809d906f14)
         File: ├─/EFI/systemd/systemd-bootx64.efi (systemd-boot 257.5-1-arch)
               └─/EFI/BOOT/BOOTX64.EFI (systemd-boot 257.5-1-arch)

Boot Loaders Listed in EFI Variables:
        Title: UEFI OS
           ID: 0x0017
       Status: active, boot-order
    Partition: /dev/disk/by-partuuid/ac2b7eb1-5dc7-495b-a2d7-a3809d906f14
         File: └─/EFI/BOOT/BOOTX64.EFI

        Title: Windows Boot Manager
           ID: 0x0000
       Status: active, boot-order
    Partition: /dev/disk/by-partuuid/6c69e3ee-8c62-43e4-807a-0c15bfd8872a
         File: └─/EFI/MICROSOFT/BOOT/BOOTMGFW.EFI

Boot Loader Entries:
        $BOOT: /boot (/dev/disk/by-partuuid/ac2b7eb1-5dc7-495b-a2d7-a3809d906f14)
        token: arch

Default Boot Loader Entry:
         type: Boot Loader Specification Type #1 (.conf)
        title: Windows 11
           id: 2025-04-19_18-45-51_windows.conf
       source: /boot//loader/entries/2025-04-19_18-45-51_windows.conf (on the EFI System Partition)
          efi: /boot//EFI/MICROSOFT/BOOT/BOOTMGFW.EFI (No such file or directory)
      options: root=PARTUUID=6c69e3ee-8c62-43e4-807a-0c15bfd8872a

WARNING: default boot entry is broken

as you can see, it tells it cant find the windows boot manager file?