### CONTEXT (Previous Events):
<system_output timestamp="4361.886367">Reading extended state information...
</system_output>
<system_output timestamp="4361.907661">Initializing package states...
</system_output>
<system_output timestamp="4362.526143">Writing extended state information...
</system_output>
<system_output timestamp="4362.776886">Building tag database...
</system_output>
<system_output timestamp="4363.252364">The following NEW packages will be installed:
  gcc-12-base{a} libc6{a} libgcc-s1{a} traceroute 
The following packages are RECOMMENDED but will NOT be installed:
  libidn2-0 
0 packages upgraded, 4 newly installed, 0 to remove and 0 not upgraded.
Need to get 52.6 kB/2,776 kB of archives. After unpacking 12.9 MB will be used.
Writing extended state information...
</system_output>
<system_output timestamp="4363.324855">... [TRUNCATED TO SAVE SPACE] ...</system_output>
<system_output timestamp="4363.327276">... [TRUNCATED TO SAVE SPACE] ...</system_output>
<system_output timestamp="4363.37141">... [TRUNCATED TO SAVE SPACE] ...</system_output>
<system_output timestamp="4363.416766">... [TRUNCATED TO SAVE SPACE] ...</system_output>
<system_output timestamp="4363.656124">Building dependency tree...
</system_output>
<system_output timestamp="4363.659123">Reading state information...
</system_output>
<system_output timestamp="4363.866046">Reading extended state information...
</system_output>
<system_output timestamp="4363.8875">Initializing package states...
</system_output>
<system_output timestamp="4364.433622">Writing extended state information...
</system_output>

### TARGET LINE (Extract and Classify THIS Timestamp):
<system_output timestamp="4364.680648">Building tag database...
</system_output>

Answer: 4364.680648, old event