json jq add an object to an existing array at the bottom of JSON

I'm trying to get some infos from lscpu and sensors in bash with jq:

jq -s 'add' \<(LC_NUMERIC=C sensors -j coretemp-isa-0000) \<(LC_NUMERIC=C lscpu -J -e=cpu,mhz)

here's what I get:

{"coretemp-isa-0000": {"Adapter": "ISA adapter","Package id 0": {"temp1_input": 32.000,"temp1_max": 80.000,"temp1_crit": 99.000,"temp1_crit_alarm": 0.000    },"Core 0": {"temp2_input": 32.000,"temp2_max": 80.000,"temp2_crit": 99.000,"temp2_crit_alarm": 0.000    },"Core 1": {"temp3_input": 22.000,"temp3_max": 80.000,"temp3_crit": 99.000,"temp3_crit_alarm": 0.000    },"Core 2": {"temp4_input": 31.000,"temp4_max": 80.000,"temp4_crit": 99.000,"temp4_crit_alarm": 0.000    },"Core 3": {"temp5_input": 28.000,"temp5_max": 80.000,"temp5_crit": 99.000,"temp5_crit_alarm": 0.000    }  },"cpus": [    {"cpu": 0,"mhz": 2997.8560    },    {"cpu": 1,"mhz": 3191.4871    },    {"cpu": 2,"mhz": 2948.6250    },    {"cpu": 3,"mhz": 1600.0000    }  ]}

and what I want is:

0 2997 321 3191 222 2948 313 1600 28

I come to this:

#!/bin/bashfiltre='add    |(.["coretemp-isa-0000"]    |keys[] as $core    |select($core|test("^Core [0-9]$"))    |($core|ltrimstr("Core ")) as $id    |.[$core]    |keys[] as $temp    |select($temp|test("temp[0-9]_input"))    |.cpus[$id|tonumber] += {"temp":.[$temp]}),.cpus'jq -rs "$filtre" \<(LC_NUMERIC=C sensors -j coretemp-isa-0000) \<(LC_NUMERIC=C lscpu -J -e=cpu,mhz)

but it doesn't do what I want : it only feeds a .cpus array in each $core, and leaves the .cpus I want to be changed unchanged.