### CONTEXT (Previous Events):
<system_output timestamp="769.985539">Reading extended state information...
</system_output>
<system_output timestamp="770.004998">Initializing package states...
</system_output>
<system_output timestamp="770.686048">Writing extended state information...
</system_output>
<system_output timestamp="770.933289">Building tag database...
</system_output>
<system_output timestamp="771.451649">The following NEW packages will be installed:
  gcc-12-base{a} libao-common{a} libao4{a} libbrotli1{a} libc6{a} libcom-err2{a} libcurl3-gnutls{a} libdb5.3{a} libffi8{a} libflac12{a} libgcc-s1{a} libgmp10{a} libgnutls30{a} libgssapi-krb5-2{a} libhogweed6{a} libidn2-0{a} libk5crypto3{a} libkeyutils1{a} libkrb5-3{a} libkrb5support0{a} libldap-2.5-0{a} libnettle8{a} libnghttp2-14{a} libogg0{a} libp11-kit0{a} libpsl5{a} librtmp1{a} libsasl2-2{a} libsasl2-modules-db{a} libspeex1{a} libssh2-1{a} libssl3{a} libtasn1-6{a} libunistring2{a} libvorbis0a{a} libvorbisenc2{a} libvorbisfile3{a} libzstd1{a} sensible-utils{a} vorbis-tools zlib1g{a} 
The following packages are RECOMMENDED but will NOT be installed:
  ca-certificates krb5-locales libldap-common libsasl2-modules publicsuffix 
0 packages upgraded, 41 newly installed, 0 to remove and 0 not upgraded.
Need to get 190 kB/12.2 MB of archives. After unpacking 39.5 MB will be used.
Writing extended state information...
</system_output>
<system_output timestamp="771.511774">... [TRUNCATED TO SAVE SPACE] ...</system_output>
<system_output timestamp="771.515437">... [TRUNCATED TO SAVE SPACE] ...</system_output>
<system_output timestamp="771.564313">... [TRUNCATED TO SAVE SPACE] ...</system_output>
<system_output timestamp="771.615852">... [TRUNCATED TO SAVE SPACE] ...</system_output>
<system_output timestamp="771.857206">Building dependency tree...
</system_output>
<system_output timestamp="771.860253">Reading state information...
</system_output>
<system_output timestamp="772.059125">Reading extended state information...
</system_output>
<system_output timestamp="772.080535">Initializing package states...
</system_output>
<system_output timestamp="772.58493">Writing extended state information...
</system_output>

### TARGET LINE (Extract and Classify THIS Timestamp):
<system_output timestamp="772.837495">Building tag database...
</system_output>

Answer: 772.837495, old event