Hi there! Based on the search results, it looks like the Mecer inverter you're looking at is designed to work with regular lead-acid batteries like the AGM batteries included in the kit. However, many portable power stations today use lithium batteries instead, as they tend to be more lightweight and have a higher energy density. Some options that may work well for you include the EcoFlow Delta 2 and Xcube portable power stations, which use lithium polymer batteries that are rechargeable and swappable. They have plenty of power for basic home or camping needs from a portable package. Just be aware you'll need a separate lithium battery instead of using regular lead-acid. Let me know if you have any other questions!
Based on the search results, some great lithium battery options to replace the deep cycle AGM batteries for your Mecer inverter would be the RCT Senry V-LFP12-100 12V 100AH Lithium Iron Phosphate Battery for R5899 or the Vision Senry 1.2KWH 100