That's perfect.
Here is what that capture shows :
The device with MAC address - Zhejiang_9c:4a:66 (48:ea:63:9c:4a:66) sends a DHCP request 6 times but receives no reply - presumably as your router/DHCP server is disconnected.
That same device issues an ARP to see if any device is using the IP address 192.168.1.13
There is no response, which is good, as it presumably would like to use it in the absence of a DHCP response.
That same device, now using IP address 192.168.1.13 broadcasts it's ONVIF discovery profile to any device on the network that cares to listen.
Within that profile is information that shows :
/name/IPC3614LR3-PF40-D onvif://
www.onvif.org/manufacturer/UNV
So - the
Uniview camera does appear to have a fixed IP address of 192.168.1.13 in the absence of a DHCP-assigned address.
Suggestions :
With everything connected up again as normal, including the router, power cycle the camera and it should be issued an IP address on your LAN address range, which looks like 192.168.178.x
You should be able to find the assigned address (check for the MAC address 48:ea:63:9c:4a:66) in the router's 'connected devices' list, and point the browser at that address.
This will not be the 192.168.1.13 address, but one issued by the DHCP server in the 192.168.178.x range.
Alternatively - with the router still disconnected, power cycle the camera.
Set the PC IP address to, say, 192.168.1.100 and point the browser at the 192.168.1.13 address
Log in, and in the network configuration section, change the IP address to one of your choice in the 192.168.178.x range.
Put the PC network configuration back as it was, and access the camera at the new address that you have set.
I believe the problem will be that the default 192.168.1.13 address is only used in the absence of a DHCP-assigned address.
So when your router/DHCP server issued an address, it would no longer need to use the default address, and any attempt to access that address would not work.