Pi-hole after a while cuts off connection

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Please elaborate on the problem.

The Pi-hole host platform is losing its connection to the LAN? Or is your router losing connection to the internet?

Of note in your debug log - 4 DHCP servers are active (or perhaps just three, the first two may be duplicates):

*** [ DIAGNOSING ]: Discovering active DHCP servers (takes 10 seconds)
   Scanning all your interfaces for DHCP servers
   Timeout: 10 seconds
   
   * Received 300 bytes from eth0:192.168.0.132
     Offered IP address: 192.168.0.112
     Server IP address: N/A
     Relay-agent IP address: N/A
     BOOTP server: (empty)
     BOOTP file: (empty)
     DHCP options:
      Message type: DHCPOFFER (2)
      server-identifier: 192.168.0.132
      lease-time: 86400 ( 1d )
      netmask: 255.255.255.0
      router: 192.168.0.132
      dns-server: 192.168.0.34
      dns-server: 8.8.8.8
      --- end of options ---
   
   
   * Received 300 bytes from eth0:192.168.0.132
     Offered IP address: 192.168.0.112
     Server IP address: N/A
     Relay-agent IP address: N/A
     BOOTP server: (empty)
     BOOTP file: (empty)
     DHCP options:
      Message type: DHCPOFFER (2)
      server-identifier: 192.168.0.132
      lease-time: 86400 ( 1d )
      netmask: 255.255.255.0
      router: 192.168.0.132
      dns-server: 192.168.0.34
      dns-server: 8.8.8.8
      --- end of options ---
   
   
   * Received 300 bytes from eth0:192.168.0.3
     Offered IP address: 192.168.0.124
     Server IP address: 192.168.0.3
     Relay-agent IP address: N/A
     BOOTP server: (empty)
     BOOTP file: (empty)
     DHCP options:
      Message type: DHCPOFFER (2)
      server-identifier: 192.168.0.3
      lease-time: 86400 ( 1d )
      renewal-time: 43200 ( 12h )
      rebinding-time: 75600 ( 21h )
      netmask: 255.255.255.0
      broadcast: 192.168.0.255
      dns-server: 192.168.0.34
      dns-server: 8.8.8.8
      router: 192.168.0.3
      --- end of options ---
   
   
   * Received 300 bytes from eth0:192.168.0.1
     Offered IP address: 192.168.0.123
     Server IP address: 192.168.0.1
     Relay-agent IP address: N/A
     BOOTP server: (empty)
     BOOTP file: (empty)
     DHCP options:
      Message type: DHCPOFFER (2)
      server-identifier: 192.168.0.1
      lease-time: 86400 ( 1d )
      renewal-time: 43200 ( 12h )
      rebinding-time: 75600 ( 21h )
      netmask: 255.255.255.0
      broadcast: 192.168.0.255
      dns-server: 192.168.0.34
      dns-server: 8.8.8.8
      router: 192.168.0.1
      --- end of options ---
   
   DHCP packets received on interface eth0: 4

Why do you have so many active DHCP servers?

And, you should not have your DHCP server(s) offering Google as a DNS server. Pi-hole should be the only DNS server available to clients.