how to jq by the desired key is inside nested json - json

Question

Here is the id.json
{
"name": "peter",
"path": "desktop/name",
"description": "male",
"env1": {
"school": "AAA",
"height": "150",
"weight": "80"
},
"env2": {
"school": "BBB",
"height": "160",
"weight": "70"
}
}
it can be more env3, env4, etc created automatically
I am trying to get the env1 by using height and weight as key
so the output can look like:
env1:height:150
env1:weight:80
env2:height:160
env2:weight:70
env3:height:xxx
.
.
.
My shell command jq .env1.height... id.json tried can only get the output by using env1, env2 as key, but it cannot handle env3, env4. And also, using jq to_entries[] to convert the json defined by key and value, but the first few row made me cannot get .value.weight as output. Any idea please?
Update:
edited the json to remove these three line
"name": "peter",
"path": "desktop/name",
"description": "male",
Then run below command:
jq 'to_entries[] | select(.value.height!=null) | [.key, .value.height, .value.weight]' id2.json
I can get below result
[
"dev",
"1",
"1"
]
[
"sit",
"1",
"1"
]
This is almost what I need, but any idea to remove the outer level json please?

Answer 1

Using your data as initially presented, the following jq program:
keys_unsorted[] as $k
| select($k|startswith("env"))
| .[$k] | to_entries[]
| select(.key|IN("height","weight"))
| [$k, .key, .value]
| join(":")
produces
env1:height:150
env1:weight:80
env2:height:160
env2:weight:70
An answer to the supplementary question
According to one interpretation of the supplementary question,
a solution would be:
keys_unsorted[] as $k
| .[$k]
| objects
| select(.height and .weight)
| to_entries[]
| select(.key|IN("height","weight"))
| [$k, .key, .value]
| join(":")
Equivalently, but without the redundancy:
["height","weight"] as $hw
| keys_unsorted[] as $k
| .[$k]
| objects
| . as $object
| select(all($hw[]; $object[.]))
| $hw[]
| [$k, ., $object[.]]
| join(":")