[Python] JMESPath search nested data for key

I am trying to use the Python Library for JMESPath to extract information from a large JSON file, a much simplified example is here:

{
"high_name":"test",
"sections":[
{
"name":"section1",
"item":"string1"
},
{
"name":"section2",
"item":"string2",
"items_sub":[
{
"item":"deeper string1"
}
]
}
]
}


I am trying to get an output as such:

{
"high_name":"test",
"sections":[
{
"name":"section1",
"items":[
"string1"
]
},
{
"name":"section2",
"items":[
"string1",
"deeper string1"
]
}
]
}


The deeper string can be from 1 to 3 levels deep depending on the type of section. I need to search the keys to get all the matching item names.

I have done this successfully using jsonpath-rw-ext but want to know if it is possible with JMESPath to remove the reliance on two libraries?

I can't seem to find a way to search all sub keys regardless of their level in JMESPath.

Working string for JSONPATH-RW-EXT:

$.sections[*]..item


Best attempt with JMESPath (doesn't work):

sections[*].*.item

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