  With recent evidence for a possible "curvature tension" among early and late
universe cosmological probes, Effective Field Theories of Large Scale Structure
(EFTofLSS) have emerged as a promising new framework to generate constraints on
$\Omega_k$ that are independent of both CMB measurements, and some of the
assumptions of flatness that enter into other large-scale structure analyses.
In this work we use EFTofLSS to simultaneously constrain measurements from the
6dFGS, BOSS, and eBOSS catalogues, representing the most expansive full-shape
investigation of curvature to date. Fitting the full-shape data with a BBN
prior on $\Omega_b h^2$ and fixed $n_s$, we measure $\Omega_k =
-0.089^{+0.049}_{-0.046}$, corresponding to a $\sim 2 \sigma$ preference for
curvature. We argue that this result cannot be biased towards flatness by
assumptions in the fitting methodology. Using the Bayesian evidence ratio our
full-shape data assigns betting odds of 2:1 in favour of curvature, indicating
present measurements remain broadly compatible with both flat and curved
cosmological models. When our full-shape sample is combined with Planck 2018
CMB measurements, we break the geometric degeneracy and recover a joint fit on
$\Omega_k$ of $-0.0041^{+0.0026}_{-0.0021}$. Using the suspiciousness statistic
(built on the standard Bayes factor), we find evidence for a moderate tension
between Planck 2018 and our suite of full-shape measurements, at a significance
of $1.76 ^{+0.14}_{-0.11} \sigma$ ($p \sim 0.08 \pm 0.02$). These results
demonstrate the usefulness of full-shape clustering measurements as a CMB
independent probe of curvature in the ongoing curvature tension debate.
