awk -F'[]:[:space:][]+' '
  /^[[:space:]]*$/ {
    if((isDefault == "false") && (instance_count == "0") && (state == "Inactive")) {
        print(acronym)
    }

    acronym=""
    instance_count=0
    isDefault=unknown
    state=unknown
  }
  END {
    if((isDefault == "false") && (instance_count == "0") && (state == "Inactive")) {
        print(acronym)
    }
  }
  /No of running instances:/ { instance_count=$6 }
  /Acronym/ { acronym=$3 }
  /Is Default:/ { isDefault = $4 }
  /State:/ { state=$4 }
'

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由于输入 almost 看起来像YAML，我们可以稍微欺骗一下并将其转换为实际的YAML，然后使用yq：

sed -E 's/ ( Name:)/-\1/' infile \
    | yq '
      .Tracks.List
      | map(
        select(
          .["Is Default"] | not
          and .State == "State[Inactive]"
          and .["No of running instances"] == 0
        )
        | .Acronym
      )
      | .[]
    '

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sed命令在每个Name:前面加上一个-，前面有两个空格，这可能是最脆弱的部分。
然后，yq钻取.Tracks.List，应用过滤器，Map到.Acronym，然后每行打印一个结果。

有很多方法可以做到这一点，其中一种方法是使用grep来解析文件，然后循环遍历每个列表段。
下面是一个完整的例子：

#!/usr/bin/env bash

shopt -s extglob

# name of the file
file=file.txt

# extract the "Name: ..." lines of file
list_names="$(grep -E '\s+Name' "$file")"

list=()

# add each "Name: ..." line to the "list" array
while IFS= read -r line; do
    # trim string
    list+=("${line##*( )}")
done <<< "$list_names"

# check if all three conditions are met
function check {
    grep --quiet --fixed-strings \
        'Is Default: false' <<< "$1" &&
    grep --quiet --fixed-strings \
        'State: State[Inactive]' <<< "$1" &&
    grep --quiet --fixed-strings \
        'No of running instances: 0' <<< "$1"
}

# loop through each list segment and check
# if conditions are met for each one
for f in "${list[@]}"; do
    # select and store all key/value pairs of each instance
    settings="$(grep -A 7 "$f" "$file")"
    # print "Acronym" value if all three strings
    # are found in the check function
    if check "$settings"; then
        output="$(grep 'Acronym' <<< "$settings")"
        # trim string
        echo "${output##*( )}"
    fi
done

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脚本的输出是Acronym: TEST11_1，因为TEST11_1满足所有三个条件。这些条件在check函数中定义。
我不确定这是否足够清楚，因为脚本变得有点冗长。如果你有任何问题，请随时提问。