Access Right Manager & lookup tables

First, if you have not seen it, try using the Template Generator tool, might make things a little easier,  [Tool]ARM Template Generator V2 - Updated 22/11/21 . Second, I created this as an example but here is what the Lookup Table section of my template looks like,

"LookupTables": [
{
"Name": "LookupTableAddress",
"Definition": {
"Type": "LookupTable",
"LookupTableId": "Address",
"LookupTable": {
"123 Marketing Way": "Marketing",
"123 Sales Lane": "Sales"
}
}
},
{
"Name": "LookupTablepostalCode",
"Definition": {
"Type": "LookupTable",
"LookupTableId": "postalCode",
"LookupTable": {
"123456": "Marketing",
"654321": "Sales"
}
}
}

Hopefully this helps.