I do, in fact, own a catechism. Admittedly, I am not as familiar with it as I would like, but I know what it says about general topics. Let us examine:
Apparently you aren’t interpreting this correctly. To “participate in the Eucharist” (as commands paragraph 2181) means to be present at mass. That is our obligation. I shall prove this.
The preceding paragraph, 2180, says: “The precept of participating in the Mass is satisfied by assistance at a Mass which is celebrated anywhere in a Catholic rite either on the holy day or on the evening of the preceding day.”
Paragraph 2180 defines what the “precept” of participating in the Mass
is, that is,
how the precept is satisfied. It says that the precept is satisfied by “assistance at a Mass,” that is, by being present at a Mass. Paragraph 2181 says that on “days of obligation,” that is, Sundays and obligatory Holy Days other than Sunday, the faithful are “obliged to participate in the Eucharist,” that is, to
be present at a Mass.
Now, these paragraphs from the Catechism are backed up by Canons from the
Codex Iuris Canonici, as is printed in the footnotes of the Catechism. The Canons in question are 1247 and 1248 § 1.
These Canons read:
1247 “On Sundays and other holy days of obligation, the faithful are obliged to participate in the Mass.”
1248 § 1 “A person who assists at a Mass celebrated anywhere in a Catholic rite either on the feast day itself or in the evening of the preceding day satisfies the obligation of participating in the Mass.”
Therefore, the obligation is simply to be present at a Mass, of some rite of the Universal Church, on the day of or on the evening of the day before.
CIC:
vatican.va/archive/ENG1104/_INDEX.HTM